Spacelike Curves in the Lightlike Cone

Author

Nemat Abazari
Martin Bohner, Missouri University of Science and TechnologyFollow
Ilgin Sager
Alizera Sedaghatdoost

Abstract

In this paper, we study curves in the lightlike cone. First, we show that any curves in the lightlike cone are spacelike or lightlike, and then we characterize some curves with special cone curvature function in the 4, 5, and 6-dimensional lightlike cone. Finally, we consider the relationship between Frenet curvature functions and cone curvature functions for a spacelike curve on the lightlike cone.

Recommended Citation

N. Abazari et al., "Spacelike Curves in the Lightlike Cone," Applied Mathematics and Information Sciences, vol. 12, no. 6, pp. 1227 - 1236, Natural Sciences Publishing, Nov 2018.

The definitive version is available at https://doi.org/10.18576/amis/120618

Department(s)

Mathematics and Statistics

Keywords and Phrases

Asymptotic frame; Cone curvature; Lightlike cone; Spacelike curve

International Standard Serial Number (ISSN)

1935-0090

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Natural Sciences Publishing, All rights reserved.

Publication Date

01 Nov 2018